Stable Quantum Resonances in Atom Optics

Abstract

A theory for stabilization of quantum resonances by a mechanism similar to one leading to classical resonances in nonlinear systems is presented. It explains recent surprising experimental results, obtained for cold Cesium atoms when driven in the presence of gravity, and leads to further predictions. The theory makes use of invariance properties of the system, that are similar to those of solids, allowing for separation into independent kicked rotor problems. The analysis relies on a fictitious classical limit where the small parameter is {\em not} Planck's constant, but rather the detuning from the frequency that is resonant in absence of gravity.

5 pages, 3 figures

References in corpus (1)

• A Theory for Quantum Accelerator Modes in Atom Optics

Cited by in corpus (68)

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• Experimental observation of high-order quantum accelerator modes
• Signatures of quantum stability in a classically chaotic system
• Sub-Fourier characteristics of a $\delta$-kicked rotor resonance
• Quantum Nondemolition Measurement of a Kicked Qubit
• Flooding of regular islands by chaotic states
• Entanglement and dynamics of spin-chains in periodically-pulsed magnetic fields: accelerator modes
• Planck's quantum-driven integer quantum Hall effect in chaos
• Experimental Realization of a Quantum Ratchet Through Phase Modulation
• Observation of coherence revival and fidelity saturation in a delta-kicked rotor potential
• Decay of Quantum Accelerator Modes
• Localization, quantum resonances and ratchet acceleration in a periodically-kicked $\mathcal{P}\mathcal{T}$-symmetric quantum rotator
• General Quantum Resonances of the Kicked Particle
• Quantum Ratchet Accelerator without a Bichromatic Lattice Potential
• Nano-wires with surface disorder: Giant localization lengths and quantum-to-classical crossover
• Theory of localization and resonance phenomena in the quantum kicked rotor
• Quantum Accelerator Modes from the Farey Tree
• Gravity-Sensitive Quantum Dynamics in Cold Atoms
• Long-lasting Exponential Spreading in Periodically Driven Quantum Systems
• Experimental verification of a one-parameter scaling law for the quantum and "classical" resonances of the atom-optics kicked rotor
• Ehrenfest time in the weak dynamical localization
• Kicked rotor quantum resonances in position space
• Quantum random walks using quantum accelerator modes
• Hamiltonian ratchets with ultra-cold atoms
• Dynamical instability in kicked Bose-Einstein condensates: Bogoliubov resonances
• Emergence of integer quantum Hall effect from chaos
• Initial state dependence of a quantum-resonance ratchet
• Saturation of fidelity in the atom-optics kicked rotor
• Quantum Resonances and Ratchets in Free-Falling Frames
• Nonlinear resonances in δ-kicked Bose-Einstein Condensates
• Coherent acceleration of material wavepackets in modulated optical fields
• Effects of atomic interactions on Quantum Accelerator Modes
• Quantum resonances in an atom-optical delta-kicked harmonic oscillator
• Controlling the Momentum Current of an Off-resonant Ratchet
• Demonstration of perfect coherence preservation for matter-waves perturbed by a delta-kicked rotor
• The role of quasi-momentum in the resonant dynamics of the atom-optics kicked rotor
• Fidelity of the quantum delta-kicked accelerator
• Quantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes
• An accelerator mode based technique for studying quantum chaos
• Resonance-assisted decay of nondispersive wave packets
• Exponential Quantum Spreading in a Class of Kicked Rotor Systems near High-Order Resonances
• Pseudo-classical theory for fidelity of nearly resonant quantum rotors
• Arnol'd Tongues and Quantum Accelerator Modes
• Nano-wires with surface disorder: Giant localization lengths and dynamical tunneling in the presence of directed chaos
• Fluctuations and Transients in Quantum-Resonant Evolution
• Atom interferometry using $\delta$-kicked and finite duration pulse-sequences
• Quantum Accelerator Modes near Higher-Order Resonances
• Power-law behavior in the quantum-resonant evolution of the delta-kicked accelerator
• Coherent Manipulation of Quantum Delta-kicked Dynamics: Faster-than-classical Anomalous Diffusion
• Fidelity for kicked atoms with gravity near a quantum resonance
• Pseudoclassical dynamics of the kicked top
• Fractional resonances in the atom-optical delta-kicked accelerator
• Dynamics of kicked spin-orbit-coupled Bose-Einstein condensates
• Suppression of decoherence effects in the quantum kicked rotor
• Floquet states of kicked particle in a singular potential: Exponential and power-law profiles
• Regimes of stability of accelerator modes
• An $\epsilon$-pseudoclassical model for quantum resonances in a cold dilute atomic gas periodically driven by finite-duration standing-wave laser pulses
• Superballistic wavepacket spreading in double kicked rotors
• Rotating Accelerator-Mode Islands
• A pseudoclassical theory for the wavepacket dynamics of the kicked rotor model
• Spinor Dynamics of Quantum Accelerator Modes near Higher Order Resonances
• Staggered-Ladder Quasienergy Spectra for Generic Quasimomentum and Quantum-Dynamical Manifestations
• Kicked-rotor quantum resonances in position space: Application to situations of experimental interest
• Classical model for survival resonances close to Talbot time
• Numerical validation of Ehrenfest theorem in a Bohmian perspective for non-conservative systems
• Floquet Recurrences in the Double Kicked Top